Asked by Anonymous

A playground slide starts 107cm above the ground and is 250cm long. What angle does the slide make with the ground? Give the answer to the nearest degree.
Answered by Reiny
Assuming the slide is a straight line, (most are not)

Did you make your sketch?
I have the opposite as 107 and the hypotenuse as 250

so sinØ = 107/250
Ø = appr 25°
Answered by Anonymous
But this section is on tan only and the answer is 24.
Answered by Reiny
"A playground slide starts 107cm above the ground and is 250cm long"

Trusting my English grammar somewhat, you made "slide" the subject of your sentence, and you said it is 250 cm long.
Thus 250 is the hypotenuse.
tanØ = opposite/adjacent
sinØ = opposite/hypotenuse
cosØ = adjacent/ hypotenuse

according to your data, the angle is 25° to the nearest degree
Answered by Steve
well, if you insist on using tan, then note that the base of the slide is

√(250^2 - 107^2) = 225.9 cm out from spot directly under the slide's top.

So, now we have

tan θ = 107/225.9 = 0.47
θ = 25.3°
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